Find the value of x, y, z and t for which the following two matrices may be equal:
`{:[(x-z,-z-x),(7-t,6+z)]and {:[(3-t,5-t),(t+5,x-y)]:}`

find the values of x,y,z and t when the following matrices are equal : {:[(x+y,y-z),(5-t,7+x)]and {:[(t-x,z-t),(z-y,x+z+t)]

Find the value of x, y, z and t for which 3{:[(x,y),(z,t)]={:[(x,6),(-1,2t)]+{:[(4,x+y),(z+t,3)]:}

Find the values of x ,\ y,\ z if the matrix A=[(0,2y,z), (x, y,-z ),(x,-y, z)] satisfy the equation A^T\ A=I_3 .

Find the values of x, y and z from the following equations:(i) [[4, 3],[x,5]]=[[y, z],[1, 5]] (ii) [[x+y,3],[ 5+z, x y]]=[[6, 3],[ 5 ,8]] (iii) [[x+y+z],[ x+z],[ y+z]]=[[9],[ 5],[ 7]]

Find the values of x, y and z from the following equations: (i) [4 3x5]=[y z1 5] (ii) [x+y3 5+z x y]=[6 2 5 8] (iii) [x+y+z x+z y+z]=[9 5 7]

Find the values of x ,\ \ y\ ,\ z if the matrix A=[0 2y z x y-z x-y z] satisfy the equation A^T\ A=I_3 .

Find the value of each of the following polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vi) q (z) = 5z ^(3) - 4z + sqrt2 at z =2

Find the value of 't' for which the lines (x-1)/(2)=(y-3)/(4)=(z-5)/(7) and (x-t)/(-1)=(y-2)/(3)=(z-1)/(1) intersect

Find the values of x,y,z if the matrix A=[[0,2y,z],[x,y,-z],[x,-y,z]] satisfy the equation A^T A=I_3

Find the vaoue of each of the folllowing polynomials for the indicated value of variables: (i) p(x) = 4x ^(2) - 3x + 7 at x =1 (ii) q (y) = 2y ^(3) - 4y + sqrt11 at y =1 (iii) r (t) = 4t ^(4) + 3t ^(3) -t ^(2) + 6 at t =p, t in R (iv) s (z) = z ^(3) -1 at z =1 (v) p (x) = 3x ^(2) + 5x -7 at x =1 (vii) q (z) = 5z ^(3) - 4z + sqrt2 at z =2